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Simplifying -36 + -8n = -4 + -6(5n + 6) Reorder the terms: -36 + -8n = -4 + -6(6 + 5n) -36 + -8n = -4 + (6 * -6 + 5n * -6) -36 + -8n = -4 + (-36 + -30n) Combine like terms: -4 + -36 = -40 -36 + -8n = -40 + -30n Solving -36 + -8n = -40 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. -36 + -8n + 30n = -40 + -30n + 30n Combine like terms: -8n + 30n = 22n -36 + 22n = -40 + -30n + 30n Combine like terms: -30n + 30n = 0 -36 + 22n = -40 + 0 -36 + 22n = -40 Add '36' to each side of the equation. -36 + 36 + 22n = -40 + 36 Combine like terms: -36 + 36 = 0 0 + 22n = -40 + 36 22n = -40 + 36 Combine like terms: -40 + 36 = -4 22n = -4 Divide each side by '22'. n = -0.1818181818 Simplifying n = -0.1818181818
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